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Nonlinear distortion of finite amplitude waves propagating in converging-diverging nozzles
Published in
2004
Pages: 7210 - 7220
Abstract
This paper presents an investigation of the nonlinear distortion of a disturbance propagating in a non-uniform steady base flow. The base flow is the steady compressible flow of a gas in a variable area duct. The quasi-one-dimensional continuity and momentum and energy equations for the unsteady disturbance in homentropic flow are solved using the method of characteristics (wave front expansion technique). A closed form solution for the first derivative of wave front in terms is obtained. The solution admits singularity for a compressive disturbance, which is responsible for shock in the flow. The solution is general and applicable in any range of the Mach number of base flow. A special case of the steady gas flow in converging-diverging duct (C-D nozzle), where the flow makes a transition from subsonic to supersonic, is investigated.
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JournalAIAA Paper
Open AccessNo
Concepts (15)
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    Acoustic wave propagation
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    Compressible flow
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    Ducts
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    Entropy
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    Nonlinear distortion
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    Nonlinear systems
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    Nozzles
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    SUBSONIC FLOW
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    SUPERSONIC FLOW
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    Transonic flow
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    Energy equations
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    FINITE AMPLITUDE WAVES
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    Mach number
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    STEADY GAS FLOWS
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    Shock waves